Ordered spanning sets for quasimodules for Mobius vertex algebras

Details Ordered spanning sets for quasimodules for Mobius vertex algebras Ordered spanning sets for quasimodules for Mobius vertex algebras

2007-10-03

arxiv.org/abs/0710.0886v2

Mathematics

Quantum Algebra

Scientific paper

Quasimodules for vertex algebras are generalizations of modules for vertex algebras. These new objects arise from a generalization of locality for fields. Quasimodules tie together module theory and twisted module theory, and both twisted and untwisted modules feature Poincare-Birkhoff-Witt-like spanning sets. This paper generalizes these spanning set results to quasimodules for certain Mobius vertex algebras. In particular this paper presents two spanning sets, one featuring a difference-zero ordering restriction on modes and another featuring a difference-one condition.

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